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Finding the Fourth Proportional to 929.15, 1,282.13 and 536.10

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Solution

The fourth proportional to 929.15, 1,282.13 and 536.10 is: 739.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.15 : 1,282.13 = 536.10 : x
  2. Step 2: Convert to fraction form
    929.15/1,282.13 = 536.10/x
  3. Step 3: Cross multiply
    929.15x = 1,282.13 × 536.10
  4. Step 4: Simplify right side
    929.15x = 687,349.89
  5. Step 5: Solve for x
    x = 687,349.89/929.15
  6. Step 6: Final answer
    x = 739.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.